[r-t] Method symmetry

Alexander Holroyd holroyd at math.ubc.ca
Thu Aug 23 22:19:16 UTC 2012


On Thu, 23 Aug 2012, Mark Davies wrote:

> Leaving the field of "row-pivot" symmetries for a while, how about this 
> little number:
> -1-1-3-1-3-1-1-3-1-1-1-5-1-1-1-1 = 31276854
> It is a Differential with (3,5)-tuples at the leadhead, generating a 15-lead 
> plain course. The bluelines for both sets of bells are conventionally 
> symmetric, but the method as a whole is not.
> It would seem (unless I'm missing something) that, to achieve symmetric 
> bluelines within an asymmetric method, you need to split the bells up into at 
> least two groups. Then they can have their own independent reflection points, 
> out of phase with each other. A 3,5-differential seemed like a natural and 
> pleasant way to achieve this.
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